In this paper we introduce some contractive conditions of Meir–Keeler type for two mappings, called f-MK-pair mappings and f-CJM-pair (from Ciric, Jachymski, and Matkowski) mappings, in the framework of regular cone metric spaces and we prove theorems which guarantee the existence and uniqueness of common fixed points. We give also a fixed point result for a multivalued mapping that satisfies a contractive condition of Meir–Keeler type. These results extend and generalize some recent results from the literature. To conclude the paper, we extend our main result to non-regular cone metric spaces by using the scalarization method of Du.
DI BARI, C., Saadati, R., & Vetro, P. (2011). Common fixed points in cone metric spaces for CJM-pairs. MATHEMATICAL AND COMPUTER MODELLING, 54(9-10), 2348-2354 [10.1016/j.mcm.2011.05.043].
Data di pubblicazione: | 2011 | |
Titolo: | Common fixed points in cone metric spaces for CJM-pairs | |
Autori: | ||
Citazione: | DI BARI, C., Saadati, R., & Vetro, P. (2011). Common fixed points in cone metric spaces for CJM-pairs. MATHEMATICAL AND COMPUTER MODELLING, 54(9-10), 2348-2354 [10.1016/j.mcm.2011.05.043]. | |
Rivista: | ||
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.mcm.2011.05.043 | |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica | |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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